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If Radius of small quadrant = 2x, Radius of semicircle = 1x

1x + 1x + 2x = 20cm

1x = 20/4 cm= 5cm 

Radius of big quadrant =>R3 = 20cm

Radius of small quadrant =>R2 = 10cm

Radius of semicircle =>R1 = 5cm

Perimeter of figure will be,

1/4 x 2π x 20 +  1/4 x 2π x 10 + 1/2 x 2π x 5 + (20-10) 

= 10π + 5π + 5π + 10

= 20π + 10

~ 72.83  

a) Perimeter is 72.83cm

Area of figure will be,

1/4π x 20 x 20 –  1/4π x 10 x 10 + 1/2π x 5 x 5 

= 100π – 25π – 12.5π 

=62.5π

~196.35

b) Area is 196.35 cm2.

 

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